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2 years ago

Simplify the trigonometric expression. sin4(α) − cos4(α) + cos2(α)

Mathematics

1 answer:

natulia [17]2 years ago

5 0

Answer:

sin²(α)

Step-by-step explanation:

sin⁴(α) − cos⁴(α) + cos²(α)

sin⁴(α) − cos²(α) (cos²(α) − 1)

sin⁴(α) − cos²(α) (-sin²(α))

sin⁴(α) + sin²(α) cos²(α)

sin²(α) (sin²(α) + cos²(α))

sin²(α) (1)

sin²(α)

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A researcher wants to determine if preschool attendance is associated with high school graduation for low-income students. She r

Alik [6]

Answer:

Step-by-step explanation:

In research studies, variables are used to explain differences in another variable. The explanatory variable (also known as independent or predictor variable) is used to explain differences in the response variable (dependent or outcome variable).

<em>It is important to know that the explanatory variable is the variable that is manipulated by the researcher. </em>

The facts that are not being manipulated are the income of the children studied, and what happens after attending or not preschool program. The variable the researcher is manipulating is the assignation to groups that will or will not attend preschool. Therefore the correct answer is:

I hope you find this information useful and interesting! Good luck!

3 0

2 years ago

martin will roll a number of cube 150 times.The number cube is labeled 1 to 6.How many times could Martin expect to roll a numbe

olga_2 [115]

So the probability of rolling a number greater than 2 is 4/6. So 4/6 times 150 should give you the answer 100.

7 0

2 years ago

Pierre lifts a 60-kg crate onto a truck bed 1 m high in 3 s. Marie lifts twenty-four 2.5-kg boxes onto the same truck bed in a t

lys-0071 [83]

Answer:

Pierre operates at a greater power level than Marie.

Marie and Pierre do the same amount of work

Step-by-step explanation:

Mass of crate=60kg

Height of truck bed=1 m

Time=3s

Pierre's work done= $60\times 1\times 9.8=588J$

Using formula Work done=mgh

Where m=mass of object

g=Acceleration due to gravity=9.8 $m/s^2$

Power= $\frac{w}{t}$

Using the formula

Pierre's power= $\frac{588}{3}=196watt$

Mass of box=2.5Kg

Total number of boxes=24

Total mass of boxes= $2.5\times 24=60kg$

Time=2 min= $2\times 60=120s$

1 min=60 s

Marie;s work done= $60\times 1\times 9.8=588J$

Marie's power= $\frac{588}{120}=4.9watt$

Pierre operates at a greater power level than Marie.

Marie and Pierre do the same amount of work

7 0

2 years ago

Find the value of 200/33 up to one place decimal.

Sergio [31]

Answer:

6.1

Step-by-step explanation:

6.06060606061

and you round up making it 6.1

7 0

2 years ago

Find the cube roots of 8(cos 216° + i sin 216°).

Tomtit [17]

$z^3=8(\cos216^\circ+i\sin216^\circ)$
$z^3=2^3(\cos(6^3)^\circ+i\sin(6^3)^\circ)$
$\implies z=8^{1/3}\left(\cos\left(\dfrac{216+360k}3\right)^\circ+i\sin\left(\dfrac{216+360k}3\right)^\circ\right)$

where $k=0,1,2$ . So the third roots are

$z=\begin{cases}2(\cos72^\circ+i\sin72^\circ)\\2(\cos192^\circ+i\sin192^\circ)\\2(\cos312^\circ+i\sin312^\circ)\end{cases}$

5 0

2 years ago